Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes

In this work, we introduce an alternativemethod of analysis in vortexmetrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortexmetrology for uniformin-plane displacement determination. On the basis of two recorded intensity...

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Autores:
Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/1366
Acceso en línea:
http://hdl.handle.net/10784/1366
Palabra clave:
vortex metrology
Fourier optics
speckle
pseudophase
Rights
License
Acceso abierto
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spelling 2014-03-07T20:43:20Z2012-10-192014-03-07T20:43:20ZLuciano Angel-Toro, Daniel Sierra-Sosa, Myrian Tebaldi, and Néstor Bolognini, "Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes," Appl. Opt. 51, 7411-7419 (2012) http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-30-74111559-128Xhttp://hdl.handle.net/10784/1366In this work, we introduce an alternativemethod of analysis in vortexmetrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortexmetrology for uniformin-plane displacement determination. On the basis of two recorded intensity speckled distributions, corresponding to two states of a diffuser coherently illuminated, we numerically generate an analytical signal fromeach recorded intensity pattern by using a version of the Riesz integral transform. Then, fromeach analytical signal, a two-dimensional pseudophase map is generated in which the vortices are located and characterized in terms of their topological charges and their core’s structural properties. The second part of the procedure allows obtaining Young’s interference fringes when Fourier transforming the light passing through a diffracting mask with multiple apertures at the locations of the homologous vortices. In fact, we use the Fourier transformas amathematical operation to compute the far-field diffraction intensity pattern corresponding to themultiaperture set. Each aperture fromthe set is associatedwith a rectangular hole that coincides both in shape and size with a pixel from recorded images.We show that the fringe analysis can be conducted as in speckle photography in an extended range of displacement measurements. Effects related with speckled decorrelation are also considered. Our experimental results agree with those of speckle photography in the range in which both techniques are applicable. © 2012 Optical Society of America OCIS codes: 050.4865, 030.6140.EAFIT universityengOSAGrupo de Investigación de Óptica AplicadaEscuela de Ciencias y HumanidadesApplied Optics, Vol. 51, Issue 30, pp. 7411-7419 (2012)http://dx.doi.org/10.1364/AO.51.007411Vortex metrology using Fourier analysis techniques: vortex networks correlation fringesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/articlearticleinfo:eu-repo/semantics/publishedVersionpublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Acceso abiertohttp://purl.org/coar/access_right/c_abf2vortex metrologyFourier opticsspecklepseudophaseUniversidad EAFIT. Departamento de Ciencias BásicasÁngel Toro, LucianoSierra Sosa, DanielTebaldy, MyrianBolognini, NéstorÁngel Toro, LucianoSierra Sosa, DanielTebaldy, MyrianBolognini, NéstorÓptica AplicadaApplied OpticsORIGINALL_Angel-Toro_Applied_Optics.pdfL_Angel-Toro_Applied_Optics.pdfapplication/pdf1334501https://repository.eafit.edu.co/bitstreams/58bcbe52-a090-423c-9b9a-ab6d12345258/downloada2beb920d193b0310209634dc40fbb0cMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81099https://repository.eafit.edu.co/bitstreams/cf7b3e9a-78d3-417d-82f3-036c774f2a3b/downloadad49d4642795b8563cc6cbddd66f666bMD5210784/1366oai:repository.eafit.edu.co:10784/13662021-09-24 16:32:50.331restrictedhttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
title Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
spellingShingle Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
vortex metrology
Fourier optics
speckle
pseudophase
title_short Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
title_full Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
title_fullStr Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
title_full_unstemmed Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
title_sort Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes
dc.creator.fl_str_mv Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
dc.contributor.department.spa.fl_str_mv Universidad EAFIT. Departamento de Ciencias Básicas
dc.contributor.author.spa.fl_str_mv Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
dc.contributor.author.none.fl_str_mv Ángel Toro, Luciano
Sierra Sosa, Daniel
Tebaldy, Myrian
Bolognini, Néstor
dc.contributor.researchgroup.spa.fl_str_mv Óptica Aplicada
dc.subject.keyword.eng.fl_str_mv vortex metrology
Fourier optics
speckle
pseudophase
topic vortex metrology
Fourier optics
speckle
pseudophase
description In this work, we introduce an alternativemethod of analysis in vortexmetrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortexmetrology for uniformin-plane displacement determination. On the basis of two recorded intensity speckled distributions, corresponding to two states of a diffuser coherently illuminated, we numerically generate an analytical signal fromeach recorded intensity pattern by using a version of the Riesz integral transform. Then, fromeach analytical signal, a two-dimensional pseudophase map is generated in which the vortices are located and characterized in terms of their topological charges and their core’s structural properties. The second part of the procedure allows obtaining Young’s interference fringes when Fourier transforming the light passing through a diffracting mask with multiple apertures at the locations of the homologous vortices. In fact, we use the Fourier transformas amathematical operation to compute the far-field diffraction intensity pattern corresponding to themultiaperture set. Each aperture fromthe set is associatedwith a rectangular hole that coincides both in shape and size with a pixel from recorded images.We show that the fringe analysis can be conducted as in speckle photography in an extended range of displacement measurements. Effects related with speckled decorrelation are also considered. Our experimental results agree with those of speckle photography in the range in which both techniques are applicable. © 2012 Optical Society of America OCIS codes: 050.4865, 030.6140.
publishDate 2012
dc.date.issued.none.fl_str_mv 2012-10-19
dc.date.available.none.fl_str_mv 2014-03-07T20:43:20Z
dc.date.accessioned.none.fl_str_mv 2014-03-07T20:43:20Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
article
info:eu-repo/semantics/publishedVersion
publishedVersion
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dc.identifier.citation.spa.fl_str_mv Luciano Angel-Toro, Daniel Sierra-Sosa, Myrian Tebaldi, and Néstor Bolognini, "Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes," Appl. Opt. 51, 7411-7419 (2012) http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-30-7411
dc.identifier.issn.none.fl_str_mv 1559-128X
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/1366
identifier_str_mv Luciano Angel-Toro, Daniel Sierra-Sosa, Myrian Tebaldi, and Néstor Bolognini, "Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes," Appl. Opt. 51, 7411-7419 (2012) http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-30-7411
1559-128X
url http://hdl.handle.net/10784/1366
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.ispartof.eng.fl_str_mv Applied Optics, Vol. 51, Issue 30, pp. 7411-7419 (2012)
dc.relation.uri.none.fl_str_mv http://dx.doi.org/10.1364/AO.51.007411
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Acceso abierto
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dc.publisher.none.fl_str_mv OSA
dc.publisher.program.spa.fl_str_mv Grupo de Investigación de Óptica Aplicada
dc.publisher.department.spa.fl_str_mv Escuela de Ciencias y Humanidades
publisher.none.fl_str_mv OSA
institution Universidad EAFIT
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